Time series are data observed over time (either in continuous time or at discrete time periods).

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Seasonality Period in ARIMA function in R - How to Interpret

I've used the ARIMA function in R to fit my data to the best possible model. My data consists of daily information and there ...
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23 views

forecasting export - methods

I have Product X Export data (time series data: year - amount) approx for last 10 years for my country and also Product Export data for Enterpise Y. I am writing thesis. This would not be the main ...
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34 views

Calculating differences between groups and across time (age)

Let's say I have data of one variable $V$ measured for two groups of individuals ($a$ and $b$) and I want to see whether there is a significant difference between them and over time, i.e. $V_a$ stays ...
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22 views

Length of time series and likelihood estimation

In ARMA (with normal errors) model estimation, are there any empirical studies or tests to judge the minimum number of observations (length) of the time series that are required such that OLS is an ...
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25 views

website performance measurement error

I have 2 measurements from my website performance measurement tool ( 6 months data with 12 points per day). Both have some error as one of them is overestimating the response time and one is ...
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1answer
47 views

How to test for one way correlation between time series?

I want to test existence of correlation between two time series but I suspect that there would exist only one way correlation. By one way, I mean that changes in Series A should bring about a change ...
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40 views

Converting ARMA models to infinite AR process in R

I'm trying to recreate some test statistics that use the infinite AR representation of normal ARMA models. I found out about the function ARMAtoMA but have not been able to find the same functionality ...
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55 views

How to calculate the prediction interval for my 24-hour forecast?

I'm doing time series analysis and I would like to calculate the prediction interval. I have predicted the next 24 values for my time series, but now I would also like to calculate the prediction ...
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33 views

Cross correlation for extremely highly correlated series

I have two time series showing very high dependency, in the order of 99.99% correlation, and I need to study their lead-lag relationship. So far I've been looking at the Pearson correlation with 7/8 ...
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2answers
194 views

How to calculate multi-step prediction intervals for time series data?

I need to manually calculate multi-step prediction intervals for time series data. I know packages like 'forecast' in R provide these, but I cannot use these packages as the production infrastructure ...
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1answer
51 views

Program Impulse Response Functions for VAR

I'm trying to program impulse response functions for a VAR model using Cholesky decomposition. The thing is I do not completely understand how I should do this when I read in the literature. Suppose I ...
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1answer
49 views

How to estimate certain parameters of an AR model in R?

I need to estimate parameters of an AR model which is in the form of AR(1,11) it means that coefficients of AR orders from order 2 until order 10 are zero. How can I estimate these two parameters in ...
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1answer
77 views

What to do about Seasonality Patterns in ACF, Time Series Data

I'm dealing with a time series data and I'm trying to construct a time series model for this particular dataset. I'm new to R and tried using the the auto.arima ...
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59 views

Degrees of freedom for Gaussian Process

I am reading this paper on Generalised Wishart Process (GWP). It is about modelling covariance matrix of D - dimensional gaussian processes (GP) as GWP. I fail to understand interpretation of "degrees ...
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51 views

Forecasting of highly correlated time series

In time series forecasting using various models like AR,MA,ARMA, etc, we usually focus on the modeling of the data in the change of time. But when we have 2 time series that Pearson correlation ...
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22 views

dickey-fuller and regressions

I have searched the internet on this, but I could not find any book/lecture/... that relates the ADF test and OLS regressions in practice. Here are my questions: 1) it seems to me unclear what model ...
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35 views

Autocorrelation impact on the Coefficient of Variation

Many articles use the Coefficient of Variation (CV) to report variation in time series. But isn't the standard deviation, used to measure the CV, no more reliable when autocorrelation is present ? ...
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1answer
56 views

Tests to establish correlation

I'm trying to analyze if there exists any correlation between two time series? So far I have not been able to notice any significant correlation. So if I were to assert in my report that these time ...
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54 views

How do I test for significant difference between sets of time ordered data?

I have data about activity on a game site over a period of time (~1.5 years). I want to compare a sub-population's activity between certain time segments so that I can say things like "Group A played ...
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22 views

Deciding if my mutant strains are significantly different from my wild type from data measured over time or from gradients

I have a set of data which is the oxygen consumption of a wild type (WT) and a few mutants. I averaged the data and plotted graphs with each mutant and WT series and plotted a line of best fit. Is ...
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1answer
72 views

Calculating the corr. coefficient between returns of portfolios in EXCEL

I want to determine the correlation between the returns of a portfolio with returns of the market (suitable index). To find how the portfolio performs in bear resp. bull markets, I want to calculate ...
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44 views

Efficient numerical methods to estimate ARMA models?

I mean exact likelihood based estimation instead of these LS methods. There are more general nonlinear optimzation methods, but in terms of performance, are there any specific methods for this type ...
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134 views

spatial autocorrelation for time series data

I have a 20-yr dataset of an annual count of species abundance for a set of polygons (~200 irregularly shaped, continuous polygons). I have been using regression analysis to infer trends (change in ...
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1answer
191 views

Help interpreting ACF- and PACF-plots

My ACF- and PACF plots are illustrated below: The first one is in original scale and the second picture is zoomed. What process would you classify this? AR, MA or ARMA? =) Thank you for any ...
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51 views

“system is exactly singular” in R function BoxCox.ar

I'm trying to perform a Box-Cox transformation on some financial data (SPY). The BoxCox.ar function (in the package TSA) gives me the following error: ...
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1answer
94 views

Kernel PCA (in R)

I am attempting to use the kernel PCA features in kernlab but am having trouble understanding the output. In particular, it's unclear what scale the results are in ...
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1answer
109 views

Positive & negative shocks in a VAR model and impulse response function in R

I have two general questions about impulse response functions in R using the package vars. Take a look at this code: ...
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74 views

Smoothing algorithm for irregular time interval

I have various sets of irregular interval time series data to which I want to apply some sort of smoothing algorithm to produce a good fit. I have attempted various methods which all were ...
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22 views

Multiple comparisons of multiple groups over multiple years

I have 14 years worth of data. For each year there are 5 possible payers for the trauma care delivered. I want to compare the significant changes of payers over time. Specifically that one of them ...
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1answer
47 views

Non-causal of variable threshold algorithm

I'm not entirely sure this question belongs here. (Maybe better suited on stackoverflow or theoretical computer science). But here it goes. I'm reading a paper called. "Time-Frequency Analysis of ...
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1answer
62 views

Can I use xreg with stl decomposition to handle moving holiday?

I am trying to decompose and forecast a weekly time series which is believed to be affected by moving holidays (e.g. Chinese New Year, which happens in different weeks of a year). I would like create ...
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1answer
46 views

Compare increase rate over time 2 groups

If you have two groups lets say Y any Z that change over "time", how do you compare if the increase rate of x and y over time is same or not. How would i set this up in R
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91 views

how to test heteroskedasticity of a time series in R?

How can I test heteroskedasticity of a time series in R? I have heard of two tests McLeod.Li.test and bptest (Breusch-Pagan ...
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75 views

How to calculate confidence interval for autocorrelation- and cross correlation functions?

I would like to calculate the confidence interval for my autocorrelation function. Does this calculation differ in any way from the normal way of calculating confidence intervals? How would I ...
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38 views

Patterns in binary sequences

I have data that looks like this: 011100111110100111 111111111111110010 111100001111000011 1D lanes of streams of data. Each row signifies the presence of a ...
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105 views

How to prove statistical significance between the 4 seasons

I have data regarding the number of deaths in a city over 35 years. I've collated the data, and now wish to prove the difference in total number of deaths between seasons is significant. Spring has ...
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54 views

How to decide the order of my ARMAX-model for each component?

I'm doing time series analysis with 78888 x 8 matrix of data. The matrix includes the response data (the series I'm interested in predicting) and exogenous data. The data is hourly sampled and ...
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113 views

How do I get better forecasts for this data

How do I get better forecasts for my model? Is the plot supposed to look like this? I am using the code: fit <- auto.arima(blah) fcast <- forecast(fit,100) ...
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1answer
115 views

Constructing a VECM with a mix of I(0) and I(1) variables

I've been using the Johansen Procedure to check and correct for cointegration in my model, by estimating a VECM instead of VAR. But now I want to estimate a new model, in which I expect the same ...
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1answer
73 views

How to get p-values for model

I am using the example from Shumway's book. How do I get the p-values for all the coefficients? Do I divide the coeffients by the standard errors? ...
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How to form a confidence band around the trend fitted from time series data

I have a time series data set. I can decompose it and get the trend but I would like to put confidence ranges around the trend (past) not the forecast-ed component. The decompose function also ...
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1answer
60 views

Time series forecasting

I create time series model via: model = sarima(data,1,0,1) sarima.for(data,100,1,0,1) The model diagnostics look good and indicate that the model is a good fit. ...
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57 views

Ljung-Box Statistic

Suppose I fit an AR(2) model to a dataset and get the diagnostics. If the Ljung-Box Statistic is significant for all lags for a time series model what is the interpretation of that? Does that mean ...
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1answer
135 views

ARIMA forecast with seasonality and trend, strange result

as I am stepping into forecasting with ARIMA models, I am trying to understand how I can improve a forecast based on ARIMA fit with seasonality and drift. My data is the following time series ( over ...
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1answer
54 views

Adding exogeneous variables to a GARCH model

I am somewhat new to R and am currently stuck with the following problem: I have two Variables X and Y . In the first step I do a GARCH(1,1) fit on Y. In the second stepd I would like to input X as ...
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1answer
86 views

Analysis of discrete (count) time-series data

I have a 2X2 factorial experiment where I am interested in seeing the effect of two different nutrient solutions (N and W) on the appearance of root tips of two different plant species (A and B). I ...
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71 views

How to identify a congestion in a time series?

Here some examples of what I mean by "congestion". What would be the best way to identify this in a timeseries in R? Rules are: Two separate maximum (upper side) Two separate minumun (lower side) ...
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1answer
78 views

Question about sample autocovariance function

I am posting this question here, because I didn't get an answer from math-exchange... =) I'm reading a time series analysis book and the formula for sample autocovariance is defined in the book as: ...
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1answer
67 views

Modelling two correlated variables

I wish to simultaneously predict two correlated time series. Here is a plot of one time series against the other: At the moment I have separate linear regressions for both of them which rely on ...
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1answer
56 views

One step ahead forecast with SEASONAL data collected sequentially

In this post it was asked how to do one step ahead forecasts using Arima form the forecast package. Now I'm using an example with hourly seasonal data and would like to do something similar but the ...

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